{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "**Chapter 3 – Classification**\n",
    "\n",
    "_This notebook contains all the sample code and solutions to the exercices in chapter 3._"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# To support both python 2 and python 3\n",
    "from __future__ import division, print_function, unicode_literals\n",
    "\n",
    "# Common imports\n",
    "import numpy as np\n",
    "import numpy.random as rnd\n",
    "import os\n",
    "\n",
    "# to make this notebook's output stable across runs\n",
    "rnd.seed(42)\n",
    "\n",
    "# To plot pretty figures\n",
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['axes.labelsize'] = 14\n",
    "plt.rcParams['xtick.labelsize'] = 12\n",
    "plt.rcParams['ytick.labelsize'] = 12\n",
    "\n",
    "# Where to save the figures\n",
    "PROJECT_ROOT_DIR = \".\"\n",
    "CHAPTER_ID = \"classification\"\n",
    "\n",
    "def save_fig(fig_id, tight_layout=True):\n",
    "    path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n",
    "    print(\"Saving figure\", fig_id)\n",
    "    if tight_layout:\n",
    "        plt.tight_layout()\n",
    "    plt.savefig(path, format='png', dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# MNIST"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'COL_NAMES': ['label', 'data'],\n",
       " 'DESCR': 'mldata.org dataset: mnist-original',\n",
       " 'data': array([[0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        ..., \n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0]], dtype=uint8),\n",
       " 'target': array([ 0.,  0.,  0., ...,  9.,  9.,  9.])}"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_mldata\n",
    "mnist = fetch_mldata('MNIST original')\n",
    "mnist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(70000, 784)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X, y = mnist[\"data\"], mnist[\"target\"]\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(70000,)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "784"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "28*28"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure some_digit_plot\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARgAAAEYCAYAAACHjumMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngQFiBAaIERggRmCAGIEBYv4BgW/59yl8VYEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07f1b3f6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "some_digit = X[36000]\n",
    "some_digit_image = some_digit.reshape(28, 28)\n",
    "plt.imshow(some_digit_image, cmap = matplotlib.cm.binary,\n",
    "           interpolation=\"nearest\")\n",
    "plt.axis(\"off\")\n",
    "\n",
    "save_fig(\"some_digit_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def plot_digit(data):\n",
    "    image = data.reshape(28, 28)\n",
    "    plt.imshow(image, cmap = matplotlib.cm.binary,\n",
    "               interpolation=\"nearest\")\n",
    "    plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# EXTRA\n",
    "def plot_digits(instances, images_per_row=10, **options):\n",
    "    size = 28\n",
    "    images_per_row = min(len(instances), images_per_row)\n",
    "    images = [instance.reshape(size,size) for instance in instances]\n",
    "    n_rows = (len(instances) - 1) // images_per_row + 1\n",
    "    row_images = []\n",
    "    n_empty = n_rows * images_per_row - len(instances)\n",
    "    images.append(np.zeros((size, size * n_empty)))\n",
    "    for row in range(n_rows):\n",
    "        rimages = images[row * images_per_row : (row + 1) * images_per_row]\n",
    "        row_images.append(np.concatenate(rimages, axis=1))\n",
    "    image = np.concatenate(row_images, axis=0)\n",
    "    plt.imshow(image, cmap = matplotlib.cm.binary, **options)\n",
    "    plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure more_digits_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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TU1O4d+8eFhcXYbVa37nTmq7HaDRieXkZwMtMOGXHzWYzvF4vjo6O4Pf7cXx8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1m/aCy8S1DQBJk44CwEqlgtXVVRweHiIej+Pp06fvROBvT2l1b5ZqtRpWqxV3797FvXv3MD4+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\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z+TA7O4vh4WFmZzSItNttVKtV5PN5lMtl1Ot1tFotdDodqFQq2O32nuxfPyRgPqsAkKZC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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07e46ca710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,9))\n",
    "example_images = np.r_[X[:12000:600], X[13000:30600:600], X[30600:60000:590]]\n",
    "plot_digits(example_images, images_per_row=10)\n",
    "save_fig(\"more_digits_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.0"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y[36000]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = X[:60000], X[60000:], y[:60000], y[60000:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "shuffle_index = np.random.permutation(60000)\n",
    "X_train, y_train = X_train[shuffle_index], y_train[shuffle_index]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Binary classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "y_train_5 = (y_train == 5)\n",
    "y_test_5 = (y_test == 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SGDClassifier(alpha=0.0001, average=False, class_weight=None, epsilon=0.1,\n",
       "       eta0=0.0, fit_intercept=True, l1_ratio=0.15,\n",
       "       learning_rate='optimal', loss='hinge', n_iter=5, n_jobs=1,\n",
       "       penalty='l2', power_t=0.5, random_state=42, shuffle=True, verbose=0,\n",
       "       warm_start=False)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import SGDClassifier\n",
    "\n",
    "sgd_clf = SGDClassifier(random_state=42)\n",
    "sgd_clf.fit(X_train, y_train_5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ True], dtype=bool)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.9502 ,  0.96565,  0.96495])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.model_selection import cross_val_score\n",
    "cross_val_score(sgd_clf, X_train, y_train_5, cv=3, scoring=\"accuracy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9502\n",
      "0.96565\n",
      "0.96495\n"
     ]
    }
   ],
   "source": [
    "from sklearn.model_selection import StratifiedKFold\n",
    "from sklearn.base import clone\n",
    "\n",
    "skfolds = StratifiedKFold(n_splits=3, random_state=42)\n",
    "\n",
    "for train_index, test_index in skfolds.split(X_train, y_train_5):\n",
    "    clone_clf = clone(sgd_clf)\n",
    "    X_train_folds = X_train[train_index]\n",
    "    y_train_folds = (y_train_5[train_index])\n",
    "    X_test_fold = X_train[test_index]\n",
    "    y_test_fold = (y_train_5[test_index])\n",
    "\n",
    "    clone_clf.fit(X_train_folds, y_train_folds)\n",
    "    y_pred = clone_clf.predict(X_test_fold)\n",
    "    n_correct = sum(y_pred == y_test_fold)\n",
    "    print(n_correct / len(y_pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from sklearn.base import BaseEstimator\n",
    "class Never5Classifier(BaseEstimator):\n",
    "    def fit(self, X, y=None):\n",
    "        pass\n",
    "    def predict(self, X):\n",
    "        return np.zeros((len(X), 1), dtype=bool)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.909  ,  0.90715,  0.9128 ])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "never_5_clf = Never5Classifier()\n",
    "cross_val_score(never_5_clf, X_train, y_train_5, cv=3, scoring=\"accuracy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import cross_val_predict\n",
    "\n",
    "y_train_pred = cross_val_predict(sgd_clf, X_train, y_train_5, cv=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[53272,  1307],\n",
       "       [ 1077,  4344]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "\n",
    "confusion_matrix(y_train_5, y_train_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "y_train_perfect_predictions = y_train_5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[54579,     0],\n",
       "       [    0,  5421]])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "confusion_matrix(y_train_5, y_train_perfect_predictions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.76871350203503808"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import precision_score, recall_score\n",
    "\n",
    "precision_score(y_train_5, y_train_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7687135020350381"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4344 / (4344 + 1307)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.80132816823464303"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recall_score(y_train_5, y_train_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.801328168234643"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4344 / (4344 + 1077)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.78468208092485547"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import f1_score\n",
    "f1_score(y_train_5, y_train_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7846820809248555"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4344 / (4344 + (1077 + 1307)/2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 161855.74572176])"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_scores = sgd_clf.decision_function([some_digit])\n",
    "y_scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "threshold = 0\n",
    "y_some_digit_pred = (y_scores > threshold)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ True], dtype=bool)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_some_digit_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([False], dtype=bool)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "threshold = 200000\n",
    "y_some_digit_pred = (y_scores > threshold)\n",
    "y_some_digit_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "y_scores = cross_val_predict(sgd_clf, X_train, y_train_5, cv=3,\n",
    "                             method=\"decision_function\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import precision_recall_curve\n",
    "\n",
    "precisions, recalls, thresholds = precision_recall_curve(y_train_5, y_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure precision_recall_vs_threshold_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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4fCMx42PYOHwjr7V+jSr+VUhJT+HdTe9S5bMqdJ/XnSkbpvB3xN9SGJosNNTYryk83BhH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\n4JiZmVnfcYBjZmZmfef/AH8I0AKVofVuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07d8ae95c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_precision_recall_vs_threshold(precisions, recalls, thresholds):\n",
    "    plt.plot(thresholds, precisions[:-1], \"b--\", label=\"Precision\", linewidth=2)\n",
    "    plt.plot(thresholds, recalls[:-1], \"g-\", label=\"Recall\", linewidth=2)\n",
    "    plt.xlabel(\"Threshold\", fontsize=16)\n",
    "    plt.legend(loc=\"upper left\", fontsize=16)\n",
    "    plt.ylim([0, 1])\n",
    "\n",
    "plt.figure(figsize=(8, 4))\n",
    "plot_precision_recall_vs_threshold(precisions, recalls, thresholds)\n",
    "plt.xlim([-700000, 700000])\n",
    "save_fig(\"precision_recall_vs_threshold_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(y_train_pred == (y_scores > 0)).all()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "y_train_pred_90 = (y_scores > 70000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.86592051164915484"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "precision_score(y_train_5, y_train_pred_90)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.69931746910164172"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recall_score(y_train_5, y_train_pred_90)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure precision_vs_recall_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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6z3vgD3/I5Wb6muxvC05vkpEvAS91KjfRP48kSQPbV78KBx6Yy3PmwAYbFBtP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\nHBMcSZLUckxwJElSyzHBkSRJLef/A3kdqtu0VARkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07d8a57860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_precision_vs_recall(precisions, recalls):\n",
    "    plt.plot(recalls, precisions, \"b-\", linewidth=2)\n",
    "    plt.xlabel(\"Recall\", fontsize=16)\n",
    "    plt.ylabel(\"Precision\", fontsize=16)\n",
    "    plt.axis([0, 1, 0, 1])\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plot_precision_vs_recall(precisions, recalls)\n",
    "save_fig(\"precision_vs_recall_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# ROC curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import roc_curve\n",
    "\n",
    "fpr, tpr, thresholds = roc_curve(y_train_5, y_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure roc_curve_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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t0mbaMZG0VmsLjoVpMI8ADgSWuPviSs8dQVht/DxgRzJD1sWKFWHbuXOkMURE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\nNy6AEIs48fWrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07d8a8aa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_roc_curve(fpr, tpr, label=None):\n",
    "    plt.plot(fpr, tpr, linewidth=2, label=label)\n",
    "    plt.plot([0, 1], [0, 1], 'k--')\n",
    "    plt.axis([0, 1, 0, 1])\n",
    "    plt.xlabel('False Positive Rate', fontsize=16)\n",
    "    plt.ylabel('True Positive Rate', fontsize=16)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plot_roc_curve(fpr, tpr)\n",
    "save_fig(\"roc_curve_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.96244965559671547"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import roc_auc_score\n",
    "\n",
    "roc_auc_score(y_train_5, y_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "forest_clf = RandomForestClassifier(random_state=42)\n",
    "y_probas_forest = cross_val_predict(forest_clf, X_train, y_train_5, cv=3,\n",
    "                                    method=\"predict_proba\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_scores_forest = y_probas_forest[:, 1] # score = proba of positive class\n",
    "fpr_forest, tpr_forest, thresholds_forest = roc_curve(y_train_5,y_scores_forest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure roc_curve_comparison_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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rbNmycVm4r6BKxI/uadP8bJK0ND/24P77/b4iBZyxJjFi5nvSjj3W93rkLO723Xd+BlHf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\nmwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07d8a57ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(fpr, tpr, \"b:\", linewidth=2, label=\"SGD\")\n",
    "plot_roc_curve(fpr_forest, tpr_forest, \"Random Forest\")\n",
    "plt.legend(loc=\"lower right\", fontsize=16)\n",
    "save_fig(\"roc_curve_comparison_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.99312433660038291"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "roc_auc_score(y_train_5, y_scores_forest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98529734474434938"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train_pred_forest = cross_val_predict(forest_clf, X_train, y_train_5, cv=3)\n",
    "precision_score(y_train_5, y_train_pred_forest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.82826046854823832"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recall_score(y_train_5, y_train_pred_forest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Multiclass classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5.])"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd_clf.fit(X_train, y_train)\n",
    "sgd_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-311402.62954431, -363517.28355739, -446449.5306454 ,\n",
       "        -183226.61023518, -414337.15339485,  161855.74572176,\n",
       "        -452576.39616343, -471957.14962573, -518542.33997148,\n",
       "        -536774.63961222]])"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "some_digit_scores = sgd_clf.decision_function([some_digit])\n",
    "some_digit_scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.argmax(some_digit_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.,  1.,  2.,  3.,  4.,  5.,  6.,  7.,  8.,  9.])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd_clf.classes_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.0"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd_clf.classes_[5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5.])"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.multiclass import OneVsOneClassifier\n",
    "ovo_clf = OneVsOneClassifier(SGDClassifier(random_state=42))\n",
    "ovo_clf.fit(X_train, y_train)\n",
    "ovo_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "45"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(ovo_clf.estimators_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5.])"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "forest_clf.fit(X_train, y_train)\n",
    "forest_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.1,  0. ,  0. ,  0.1,  0. ,  0.8,  0. ,  0. ,  0. ,  0. ]])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "forest_clf.predict_proba([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.84063187,  0.84899245,  0.86652998])"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross_val_score(sgd_clf, X_train, y_train, cv=3, scoring=\"accuracy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.91011798,  0.90874544,  0.906636  ])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "scaler = StandardScaler()\n",
    "X_train_scaled = scaler.fit_transform(X_train.astype(np.float64))\n",
    "cross_val_score(sgd_clf, X_train_scaled, y_train, cv=3, scoring=\"accuracy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5725,    3,   24,    9,   10,   49,   50,   10,   39,    4],\n",
       "       [   2, 6493,   43,   25,    7,   40,    5,   10,  109,    8],\n",
       "       [  51,   41, 5321,  104,   89,   26,   87,   60,  166,   13],\n",
       "       [  47,   46,  141, 5342,    1,  231,   40,   50,  141,   92],\n",
       "       [  19,   29,   41,   10, 5366,    9,   56,   37,   86,  189],\n",
       "       [  73,   45,   36,  193,   64, 4582,  111,   30,  193,   94],\n",
       "       [  29,   34,   44,    2,   42,   85, 5627,   10,   45,    0],\n",
       "       [  25,   24,   74,   32,   54,   12,    6, 5787,   15,  236],\n",
       "       [  52,  161,   73,  156,   10,  163,   61,   25, 5027,  123],\n",
       "       [  43,   35,   26,   92,  178,   28,    2,  223,   82, 5240]])"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train_pred = cross_val_predict(sgd_clf, X_train_scaled, y_train, cv=3)\n",
    "conf_mx = confusion_matrix(y_train, y_train_pred)\n",
    "conf_mx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def plot_confusion_matrix(matrix):\n",
    "    \"\"\"If you prefer color and a colorbar\"\"\"\n",
    "    fig = plt.figure(figsize=(8,8))\n",
    "    ax = fig.add_subplot(111)\n",
    "    cax = ax.matshow(conf_mx)\n",
    "    fig.colorbar(cax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure confusion_matrix_plot\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPkAAAD+CAYAAAD4SqMoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOCOXijNyqbg/AYnJ3jkv46OtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07e461d358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.matshow(conf_mx, cmap=plt.cm.gray)\n",
    "save_fig(\"confusion_matrix_plot\", tight_layout=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "row_sums = conf_mx.sum(axis=1, keepdims=True)\n",
    "norm_conf_mx = conf_mx / row_sums"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure confusion_matrix_errors_plot\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07e46a3080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.fill_diagonal(norm_conf_mx, 0)\n",
    "plt.matshow(norm_conf_mx, cmap=plt.cm.gray)\n",
    "save_fig(\"confusion_matrix_errors_plot\", tight_layout=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure error_analysis_digits_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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xcezs7ODWrVv485//jGAwiLm5OVy5cgX5fB5CobAhMh7ZbJaWJlwuFw2YvwuBQIDBwUFM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\nQUQ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kBGtra/jss8+oKJwMrf3e976Htra2l/7d5zLAIZEvcS0WiURQq9Ww2+3w+/1Ur+L3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VDQpPCzZ8/SOI/79+/jv//7v8Hj8dDU1IS2tjZYLJaqTXa9VwVOqVTCxMQEvvzyS3g8HvqA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\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qlQosFosGO0wm842Z96eBg4MDyskizuIAkM/nkU6nEY/H4ff7sbi4iLW1NWxvb6NYLKLZ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\nhxBCCCE15/+dZO7bCSjz4wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07d8a755f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cl_a, cl_b = 3, 5\n",
    "X_aa = X_train[(y_train == cl_a) & (y_train_pred == cl_a)]\n",
    "X_ab = X_train[(y_train == cl_a) & (y_train_pred == cl_b)]\n",
    "X_ba = X_train[(y_train == cl_b) & (y_train_pred == cl_a)]\n",
    "X_bb = X_train[(y_train == cl_b) & (y_train_pred == cl_b)]\n",
    "\n",
    "plt.figure(figsize=(8,8))\n",
    "plt.subplot(221); plot_digits(X_aa[:25], images_per_row=5)\n",
    "plt.subplot(222); plot_digits(X_ab[:25], images_per_row=5)\n",
    "plt.subplot(223); plot_digits(X_ba[:25], images_per_row=5)\n",
    "plt.subplot(224); plot_digits(X_bb[:25], images_per_row=5)\n",
    "save_fig(\"error_analysis_digits_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Multilabel classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=1, n_neighbors=5, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "\n",
    "y_train_large = (y_train >= 7)\n",
    "y_train_odd = (y_train % 2 == 1)\n",
    "y_multilabel = np.c_[y_train_large, y_train_odd]\n",
    "\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train, y_multilabel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[False,  True]], dtype=bool)"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.96845540180280221"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train_knn_pred = cross_val_predict(knn_clf, X_train, y_train, cv=3)\n",
    "f1_score(y_train, y_train_knn_pred, average=\"macro\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Multioutput classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "noise = rnd.randint(0, 100, (len(X_train), 784))\n",
    "X_train_mod = X_train + noise\n",
    "noise = rnd.randint(0, 100, (len(X_test), 784))\n",
    "X_test_mod = X_test + noise\n",
    "y_train_mod = X_train\n",
    "y_test_mod = X_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure noisy_digit_example_plot\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAADXCAYAAABPscVgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07d808e048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "some_index = 5500\n",
    "plt.subplot(121); plot_digit(X_test_mod[some_index])\n",
    "plt.subplot(122); plot_digit(y_test_mod[some_index])\n",
    "save_fig(\"noisy_digit_example_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure cleaned_digit_example_plot\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARgAAAEYCAYAAACHjumMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAABedJREFUeJzt3SFvFVkYgOHeTXE1OBoCJAgUGILDohAkFSgEJCQkWJL+\nAxyC4Egw4FBIHAqFqIKrAQFICARMRfcHbLenbO87vXSfR3a+zBxx++aIk5nZzs7OCkDhr8NeAHB0\nCQyQERggIzBARmCAjMAAGYEBMgIDZFYnfJYTfXB0zXb7ox0MkBEYICMwQEZggIzAABmBATICA2QE\nBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAAGYEBMgIDZAQGyAgMkBEY\nICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCA\njMAAGYEBMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYIDM6mEvAPhv\ntre397x+7NixiVby7+xggIzAABmBATICA2QEBsgIDJARGCAjMEDGQTt+28ePH4cz8/l8OHP69Onh\nzJkzZ4YzP3/+3PP6+vr68B4PHjwYzmxtbQ1nnj9/PpzZ2NgYzvz69Ws4c/PmzT2v37t3b3iPL1++\nDGcOwg4GyAgMkBEYICMwQEZggIzAABmBATICA2RmOzs7Uz1rsgexu9lsdthLYJ8m/L9clF1/XHYw\nQEZggIzAABmBATICA2QEBsgIDJARGCDjjXZHyOPHjw97Cb9lc3NzOHPhwoUJVrKycvny5eHM2bNn\nJ1jJ0WIHA2QEBsgIDJARGCAjMEBGYICMwAAZL5z6Q+znq4KXLl068HO2t7eHM6urjk/xD144BUxL\nYICMwAAZgQEyAgNkBAbICAyQERgg48TUEnj79u1wZhGH6J4+fTqccYiORbKDATICA2QEBsgIDJAR\nGCAjMEBGYICMwAAZb7RbAk+ePBnO3LlzZ4KVrKxM+HvgaPFGO2BaAgNkBAbICAyQERggIzBARmCA\njMAAGQftlsBstusZpUPx8OHD4czVq1eHM+fOnVvEcvhzOGgHTEtggIzAABmBATICA2QEBsgIDJAR\nGCDjoN0f4tu3b8OZly9f7nn9xo0bC1nLfD4fzty+fXs4c/369eHMft7kt7a2Npwh56AdMC2BATIC\nA2QEBsgIDJARGCAjMEBGYICMg3Yknj17Npy5devWcGZjY2M48+LFi/0siZaDdsC0BAbICAyQERgg\nIzBARmCAjMAAGYEBMg7akXj37t1w5tq1a8OZ9+/fD2e2trb2vH7x4sXhPTgwB+2AaQkMkBEYICMw\nQEZggIzAABmBATLOwXBoPn/+PJw5efLkge+zvr6+7zXxnzkHA0xLYICMwAAZgQEyAgNkBAbICAyQ\nERggs3rYC+D/682bN8OZEydODGccpFtedjBARmCAjMAAGYEBMgIDZAQGyAgMkBEYIOOgHYmvX78O\nZ+7fvz+cuXv37iKWwyGxgwEyAgNkBAbICAyQERggIzBARmCAjMAAGZ+OJTGb7fol0d824e+Tg/Hp\nWGBaAgNkBAbICAyQERggIzBARmCAjMAAGW+0WwLnz58fzjx69Gg48+HDhz2vnzp1ar9L2tOrV68W\ncp/Xr18v5D4sLzsYICMwQEZggIzAABmBATICA2QEBsgIDJBx0G4JzOfz4cyVK1cmWMn+bG5uDmd+\n/PgxnFlbW1vEclhidjBARmCAjMAAGYEBMgIDZAQGyAgMkBEYIOOg3RLYz+dRt7e3hzPfv3/f8/qn\nT5+G9zh+/PhwZlFvxuPos4MBMgIDZAQGyAgMkBEYICMwQEZggMxsP2cwFmSyBwGTm+32RzsYICMw\nQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYICMwAAZgQEyAgNkBAbICAyQERggIzBARmCAjMAA\nGYEBMgIDZAQGyAgMkBEYICMwQGZ1wmft+mlJ4OiygwEyAgNkBAbICAyQERggIzBARmCAjMAAGYEB\nMgIDZAQGyAgMkBEYICMwQEZggIzAABmBATICA2QEBsgIDJARGCAjMEBGYIDM36jarrZyFeX9AAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f07d8afab38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "knn_clf.fit(X_train_mod, y_train_mod)\n",
    "clean_digit = knn_clf.predict([X_test_mod[some_index]])\n",
    "plot_digit(clean_digit)\n",
    "save_fig(\"cleaned_digit_example_plot\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Extra material"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Dummy (ie. random) classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from sklearn.dummy import DummyClassifier\n",
    "dmy_clf = DummyClassifier()\n",
    "y_probas_dmy = cross_val_predict(dmy_clf, X_train, y_train_5, cv=3, method=\"predict_proba\")\n",
    "y_scores_dmy = y_probas_dmy[:, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8Sl8qdVjCNREz62Fm/wbWAm8A7aL9T5vZ9WmKT0QyYN486NBhNZMmnQC05re/DSOvlECk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\nlSmJiIhIlf1/Lk3qfraiUA8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f05d776c860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fprr, tprr, thresholdsr = roc_curve(y_train_5, y_scores_dmy)\n",
    "plot_roc_curve(fprr, tprr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## KNN classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=-1, n_neighbors=4, p=2,\n",
       "           weights='distance')"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "knn_clf = KNeighborsClassifier(n_jobs=-1, weights='distance', n_neighbors=4)\n",
    "knn_clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "y_knn_pred = knn_clf.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97140000000000004"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import accuracy_score\n",
    "accuracy_score(y_test, y_knn_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQAAAAEBCAYAAACXLnvDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBACCCQAEEwAIJgAQTAAgmABAMAGAYH8BZrr1P6MZ7LUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f05d7770e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.ndimage.interpolation import shift\n",
    "def shift_digit(digit_array, dx, dy, new=0):\n",
    "    return shift(digit_array.reshape(28, 28), [dy, dx], cval=new).reshape(784)\n",
    "\n",
    "plot_digit(shift_digit(some_digit, 5, 1, new=100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((300000, 784), (300000,))"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train_expanded = [X_train]\n",
    "y_train_expanded = [y_train]\n",
    "for dx, dy in ((1, 0), (-1, 0), (0, 1), (0, -1)):\n",
    "    shifted_images = np.apply_along_axis(shift_digit, axis=1, arr=X_train, dx=dx, dy=dy)\n",
    "    X_train_expanded.append(shifted_images)\n",
    "    y_train_expanded.append(y_train)\n",
    "\n",
    "X_train_expanded = np.concatenate(X_train_expanded)\n",
    "y_train_expanded = np.concatenate(y_train_expanded)\n",
    "X_train_expanded.shape, y_train_expanded.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=-1, n_neighbors=4, p=2,\n",
       "           weights='distance')"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.fit(X_train_expanded, y_train_expanded)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "y_knn_expanded_pred = knn_clf.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97629999999999995"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "accuracy_score(y_test, y_knn_expanded_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.       ,  0.       ,  0.5053645,  0.       ,  0.       ,\n",
       "         0.       ,  0.       ,  0.4946355,  0.       ,  0.       ]])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ambiguous_digit = X_test[2589]\n",
    "knn_clf.predict_proba([ambiguous_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQAAAAEBCAYAAACXLnvDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f05d6a2cf60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_digit(ambiguous_digit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Exercise solutions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "**Coming soon**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
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  "nav_menu": {},
  "toc": {
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
   "threshold": 6,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
